A Derivation of Centripetal Force
I derive the expression for the centripetal force on a particle moving with uniform circular motion.
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The Electric Field Around a Charged Spherical Shell
I derive the electric field around a thin, charged spherical shell using Coulomb's law.
Reduced Mass and Binary Star Systems - Part 3
I finish up the discussion of binary star systems by going over some of the properties of the equations that I derived last week. I then present the results in the context of Kepler's laws.
Reduced Mass and Binary Star Systems - Part 2
I derive the equations that describe the orbit of a binary star system.
Reduced Mass and Binary Star Systems - Part 1
I explain the concept of reduced mass and then demonstrate how it is used in the context of binary star systems.
Apparent Depth and the Cartesian Sign Convention
I go through the Cartesian sign convention that is used in the derivation of apparent depth.
Thomson's Derivation of the Larmor Formula
I review J.J. Thomson's derivation of the Larmor formula.
The Electromagnetic Hamiltonian
I set up the classical electromagnetic Hamiltonian and use it to derive the Lorentz force.
Breaking Degeneracy with the Spin-Orbit Interaction
I analyze some of the commutation relations in the presence of spin-orbit interaction and explain some of their consequences.
The Finite Difference Method and Schrodinger's Equation
I derive the methodology behind the finite difference method and then use it to solve the one-dimensional, time-independent Schrodinger equation.
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